A method and apparatus for connected deployable arms off of cylindrical surfaces including an outer cylinder defining an outer circumference and an inner cylinder concentric with the outer cylinder around a central aperture, one or more primary developable mechanisms linked to one or more secondary developable mechanisms. The deployable arms transition from a first closed state wherein the primary developable mechanisms and secondary developable mechanisms are contained entirely within the outer cylinder outer circumference to a second open state wherein the inner cylinder rotates relative to the outer cylinder, forcing the primary developable mechanisms and secondary developable mechanisms to extend outside the outer cylinder outer circumference.

A drilling apparatus such as an expandable drill bit or an inline underreamer includes a main body in communication with a drill string, and a plurality of wing assemblies with a plurality of wings that are actuatable between a collapsed position and an expanded position. The drilling apparatus has a first diameter defined by a plurality of blades of the main body when the plurality of wings is in the collapsed position, and a second, greater diameter defined by the plurality of wings when the plurality of wings is in the expanded position. The drilling apparatus is insertable into an existing wellbore that has a first interior diameter when the plurality of wings is in the collapsed position, and is able to increase the existing wellbore to a second, greater diameter when the plurality of wings is in the expanded position.